Sorbonne Université, Museum National d’Histoire Naturelle , UMR CNRS 7590, Institut de Minéralogie, de Physique des Matériaux et de Cosmochimie, 4 place Jussieu, F-75005 Paris, France
Laboratoire de Thermique et Energie de Nantes , CNRS, UMR 6607, Université de Nantes, Nantes, 44306, France
Lorenzo Paulatto
Sorbonne Université, Museum National d’Histoire Naturelle , UMR CNRS 7590, Institut de Minéralogie, de Physique des Matériaux et de Cosmochimie, 4 place Jussieu, F-75005 Paris, France
Nathalie Vast
Laboratoire des Solides Irradiés, CEA/DRF/IRAMIS, Ecole Polytechnique, CNRS, Institut Polytechnique de Paris , F91128 Palaiseau cédex, France
In this work, we discuss the possibility of reaching the Ziman conditions for collective heat transport in cubic bulk semiconductors, such as Si, Ge, AlAs and AlP. In natural and enriched silicon and germanium, the collective heat transport limit is impossible to reach due to strong isotopic scattering. However, we show that in hyper-enriched silicon and germanium, as well as in materials with one single stable isotope like AlAs and AlP, at low temperatures, normal scattering plays an important role, making the observation of the collective heat transport possible. We further discuss the effects of sample sizes, and analyse our results for cubic materials by comparing them to bulk bismuth, in which second sound has been detected at cryogenic temperatures. We find that collective heat transport in cubic semiconductors studied in this work is expected to occur at temperatures between 10 and 20 K.